English
Related papers

Related papers: PeSANet: Physics-encoded Spectral Attention Networ…

200 papers

Few-shot anomaly detection (FSAD) denotes the identification of anomalies within a target category with a limited number of normal samples. Existing FSAD methods largely rely on pre-trained feature representations to detect anomalies, but…

Computer Vision and Pattern Recognition · Computer Science 2025-12-18 Yuxin Jiang , Yunkang Cao , Weiming Shen

Accurately modeling and inferring solutions to time-dependent partial differential equations (PDEs) over extended horizons remains a core challenge in scientific machine learning. Traditional full rollout (FR) methods, which predict entire…

Machine Learning · Computer Science 2026-03-18 Luis Mandl , Dibyajyoti Nayak , Tim Ricken , Somdatta Goswami

Neural differential equations offer a powerful approach for learning dynamics from data. However, they do not impose known constraints that should be obeyed by the learned model. It is well-known that enforcing constraints in surrogate…

Automatic cell segmentation is an essential step in the pipeline of computer-aided diagnosis (CAD), such as the detection and grading of breast cancer. Accurate segmentation of cells can not only assist the pathologists to make a more…

Image and Video Processing · Electrical Eng. & Systems 2020-12-29 Muyi Sun , Zeyi Yao , Guanhong Zhang

Modeling complex spatiotemporal dynamical systems, such as the reaction-diffusion processes, have largely relied on partial differential equations (PDEs). However, due to insufficient prior knowledge on some under-explored dynamical…

Machine Learning · Computer Science 2023-05-23 Chengping Rao , Pu Ren , Qi Wang , Oral Buyukozturk , Hao Sun , Yang Liu

Reconstructing continuous physical fields from sparse, irregular observations is a central challenge in scientific machine learning, particularly for systems governed by partial differential equations (PDEs). Existing physics-informed…

Machine Learning · Computer Science 2026-03-31 Ehsan Zeraatkar , Rodion Podorozhny , Jelena Tešić

Physics-Informed Neural Networks (PINNs) have emerged as a powerful framework for solving partial differential equations (PDEs) by embedding physical laws into neural network training. However, traditional PINN models are typically designed…

Machine Learning · Computer Science 2025-05-05 Keon Vin Park

Operator learning has emerged as a promising paradigm for developing efficient surrogate models to solve partial differential equations (PDEs). However, existing approaches often overlook the domain knowledge inherent in the underlying PDEs…

Machine Learning · Computer Science 2025-10-20 Ziqian Li , Kang Liu , Yongcun Song , Hangrui Yue , Enrique Zuazua

Solving partial differential equations (PDEs) serves as a cornerstone for modeling complex dynamical systems. Recent progresses have demonstrated grand benefits of data-driven neural-based models for predicting spatiotemporal dynamics…

Machine Learning · Computer Science 2025-03-04 Bocheng Zeng , Qi Wang , Mengtao Yan , Yang Liu , Ruizhi Chengze , Yi Zhang , Hongsheng Liu , Zidong Wang , Hao Sun

The rapid increment of morbidity of brain stroke in the last few years have been a driving force towards fast and accurate segmentation of stroke lesions from brain MRI images. With the recent development of deep-learning, computer-aided…

Image and Video Processing · Electrical Eng. & Systems 2021-10-25 Hritam Basak , Rukhshanda Hussain , Ajay Rana

Learning the solution of partial differential equations (PDEs) with a neural network is an attractive alternative to traditional solvers due to its elegance, greater flexibility and the ease of incorporating observed data. However, training…

Machine Learning · Computer Science 2024-07-18 Katsiaryna Haitsiukevich , Alexander Ilin

Parameter-efficient fine-tuning (PEFT) is an effective methodology to unleash the potential of large foundation models in novel scenarios with limited training data. In the computer vision community, PEFT has shown effectiveness in image…

Computer Vision and Pattern Recognition · Computer Science 2024-03-29 Zelin Peng , Zhengqin Xu , Zhilin Zeng , Lingxi Xie , Qi Tian , Wei Shen

Physics-informed neural networks (PINNs) have emerged as a powerful paradigm for solving partial differential equations (PDEs) by embedding physical laws directly into neural network training. However, solving high-fidelity PDEs remains…

Machine Learning · Computer Science 2026-02-03 Olaf Yunus Laitinen Imanov

The recent rise of deep learning has led to numerous applications, including solving partial differential equations using Physics-Informed Neural Networks. This approach has proven highly effective in several academic cases. However, their…

Numerical Analysis · Mathematics 2024-10-07 Marien Chenaud , Frédéric Magoulès , José Alves

Enhancing neural networks with knowledge of physical equations has become an efficient way of solving various physics problems, from fluid flow to electromagnetism. Graph neural networks show promise in accurately representing irregularly…

Machine Learning · Computer Science 2022-04-01 Mike Y. Michelis , Robert K. Katzschmann

In this paper, we address the scene segmentation task by capturing rich contextual dependencies based on the selfattention mechanism. Unlike previous works that capture contexts by multi-scale features fusion, we propose a Dual Attention…

Computer Vision and Pattern Recognition · Computer Science 2019-04-23 Jun Fu , Jing Liu , Haijie Tian , Yong Li , Yongjun Bao , Zhiwei Fang , Hanqing Lu

In this work we propose a deep adaptive sampling (DAS) method for solving partial differential equations (PDEs), where deep neural networks are utilized to approximate the solutions of PDEs and deep generative models are employed to…

Numerical Analysis · Mathematics 2022-07-06 Kejun Tang , Xiaoliang Wan , Chao Yang

Time series forecasting is essential in a wide range of real world applications. Recently, frequency-domain methods have attracted increasing interest for their ability to capture global dependencies. However, when applied to non-stationary…

Machine Learning · Statistics 2026-02-09 Zhongde An , Jinhong You , Jiyanglin Li , Yiming Tang , Wen Li , Heming Du , Shouguo Du

Deep Learning based techniques have gained significance over the past few years in the field of medicine. They are used in various applications such as classifying medical images, segmentation and identification. The existing architectures…

Image and Video Processing · Electrical Eng. & Systems 2023-05-16 Gaurav Prasanna , John Rohit Ernest , Lalitha G , Sathiya Narayanan

Despite the great progress made by deep CNNs in image semantic segmentation, they typically require a large number of densely-annotated images for training and are difficult to generalize to unseen object categories. Few-shot segmentation…

Computer Vision and Pattern Recognition · Computer Science 2020-02-10 Kaixin Wang , Jun Hao Liew , Yingtian Zou , Daquan Zhou , Jiashi Feng